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Allushta [10]
2 years ago
9

When 8 is added to 3times a certain number, the result is the same as adding 12 to twice the number. find the number​

Mathematics
1 answer:
White raven [17]2 years ago
5 0

Answer:

The number is 4

Step-by-step explanation:

<u>Choose a variable for the number.</u>

let the number be "x"

<u>Make an equation</u> with the information from the problem. Break down each part of the problem and change it to the algebraic form (numbers and symbols).

"When 8 is added to"               8 +  

"3 times a certain number"       3x

"the result is the same as"         =

"adding 12 to"                            12 +

"twice the number"                   2x

Put the equation back together with each of the parts.

8 + 3x = 12 + 2x

<u>Now isolate "x"</u> to the left side to find the number.

8 + 3x - 2x = 12 + 2x - 2x       Subtract 2x from both sides

8 + x = 12                           "x" is only on the left side

8 - 8 + x = 12 - 8                Subtract 8 from both sides

x = 4                             Solved for the number

Therefore the number is 4.

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Kala got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store
irina [24]

Answer:

31 yards of ribbon

Step-by-step explanation:

Of after purchasing the ribbon in bulk she has $21.28 left from her initial $25 it would mean that she spent $3.72 in total.

25 - 21.28 = 3.72

So in spending $3.72 on ribbons we can find how much yards she bought by seeing how many times 12 cents can go into the $3.72 (the amount of money she spent).

0.12 \sqrt{3.72}  = 31

8 0
2 years ago
Please help!
Ainat [17]
<span>(x – h)^2 + (y – k)^2 = r<span>^2


this equation is a derivative of the equation of a circle

x^2 + y^2 = r^2
This is from the origin. If we move the in x or y then the radius will change positions in x or y


with h = -3 and k = 1

we can plug in each set of numbers and solve.

we find Z to be on the circle edge!</span></span>
8 0
3 years ago
Can someone please help
Rashid [163]

Answer:

It shifted 6 units down

Step-by-step explanation:

Do the graph normally without the k and compare them side by side.

8 0
2 years ago
Please answer quickly I will give brainliest- Kelsey has a list of possible functions. Pick one of the g(x) functions below and
Marizza181 [45]

Answer:

1. Behavior

The g(x) is large and positive when x is large and positive;

The g(x) is large and negative when x is large and negative.

2. y-intercept= -18

3. The zeros are: -3, -2 and 3

Step-by-step explanation:

1. End behavior:

To find this you have to know the leading coefficient of the variable with the highest degree, and whether the degree is even or odd.  

(x + 3) = x positive, coefficient 1

(x + 2) = x positive, coefficient 1

(x − 3)=  x positive, coefficient 1

The coefficient is 1*1*1= 1 = positive

There are 3 x, so it will be x^3= odd

The behavior for odd and positive will be:

g(x) is + ∞ when x=>+∞

g(x) is -∞ when x=>-∞

or

The g(x) is large and positive when x is large and positive;

The g(x) is large and negative when x is large and negative.

2. Y-intercept

The y-intercept is the value of y when the graph touches the y-axis. The y-axis is located at x=0, so to find the y-intercept you need to put x=0 on the graph function. Some graphs can have two y-intercepts but the graph on the question only has one. The calculation will be:

y-intercept = g(0)= (0+3)(0+2)(0-3)

y-intercept = 3*2*-3

y-intercept= -18

3. Zeros

The zeros mean the value of x that will result as g(x) as zero. At this coordinate, the graph will touch the x-axis since g(0) is located on the x-axis. That is why this coordinate also called an x-intercept. The function is expressed as the product of three things. If any of them is 0, then the result will be 0. So we have 3 zeros

x_{1}+3=0

x_{1}=-3

x_{2} +2=0

x_{2}=-2

x_{3}-3=0

x_{3}=3

The zeros are: -3, -2 and 3

8 0
3 years ago
Find the absolute maximum and minimum values of f(x.y)=x^2+y^2-2x-2y on the closed region bounded by the triangle with vertices
dem82 [27]

Try this suggested solution, note, 'D' means the region bounded by the triangle according to the condition. It consists of 6 steps.

Answers are underlined with red colour.

6 0
3 years ago
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